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Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).

Afina-wow [57]

The area of the convex polygon is 43/2 square units

<h3>How to determine the area of the convex polygon?</h3>

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

$A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )$

So, we have:

$A = \frac12 * (|-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 + 2 * -4 - 0 * -3 -3 * 2 + 4 * 1|)$

Evaluate

$A = \frac12 * (|-43|)$

Remove the absolute bracket

$A = \frac12 * 43$

This gives

$A = \frac{43}2$

Hence, the area of the convex polygon is 43/2 square units

Read more about convex polygon at:

brainly.com/question/14522707

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You catch an expected number of 1.51.5 fish per hour. You can catch a fish at any instant of time. Which distribution best chara

Illusion [34]

Answer:

The distribution is Poisson distribution

Step-by-step explanation:

From the question we are told that

An expected number of fish was caught per hour is 1.5

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This because generally the Poisson distribution is a distribution that shows the number of times a given event will occur within a defined period of time

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Answer:

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